313040 has 80 divisors (see below), whose sum is σ = 916608. Its totient is φ = 96768.

The previous prime is 313037. The next prime is 313081. The reversal of 313040 is 40313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7259 + ... + 7301.

2³¹³⁰⁴⁰ is an apocalyptic number.

It is a pronic number, being equal to 559×560.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458304).

313040 is an abundant number, since it is smaller than the sum of its proper divisors (603568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313040 is a wasteful number, since it uses less digits than its factorization.

313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 313040 is about 559.4997765862. The cubic root of 313040 is about 67.8995055357.

Adding to 313040 its reverse (40313), we get a palindrome (353353).

The spelling of 313040 in words is "three hundred thirteen thousand, forty".